CET Karnataka Medical CET - Karnataka Medical Solved Paper-2014

  • question_answer
    The ratio of heats liberated at 298 K from the combustion of one kg of coke and by burning water gas obtained from kg of coke is (Assume coke to be 100% carbon) (Given : enthalpies of combustion of  \[C{{O}_{2}},CO\]and \[{{H}_{2}}\] as \[393.5kJ\], \[285kJ\], \[285kJ\] respectively all at\[298K\]).

    A)  \[0.79:1\]          

    B)  \[0.69:1\]

    C)  \[0.86:1\]         

    D)  \[0.96:1\]

    Correct Answer: B

    Solution :

    : Given information, the enthalpy of combustion of \[C{{O}_{2}}\]is wrong, it should be enthalpy of combustion of C. 1 kg of coke \[=\frac{1000}{12}=83.33moles\] \[C+{{O}_{2}}\xrightarrow{{}}\underset{83.33\times 395.5kJ}{\mathop{C{{O}_{2}}}}\,\] \[\underbrace{CO+{{H}_{2}}}_{Water\,gas}+{{O}_{2}}\xrightarrow{{}}\underset{83.33\times 570kJ}{\mathop{\underset{83.33\times (285+285)}{\mathop{C{{O}_{2}}+{{H}_{2}}O}}\,}}\,\] Now, the ratio of
    coke water gas
    \[83.33\times 393.5\] : \[83.33\times 570\]
    \[\Rightarrow \] \[393.5\] : \[570\]
    \[\Rightarrow \]\[0.69\] : \[1\]


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